An efficient algorithm for solving a special case of the generalized problem of stones


:  
:  1995
:  
:  Automation and remote control
() :  7
:  V.N. Burkov, S.I. Dzyubko, A.A. Yagupov. An efficient algorithm for solving a special case of the generalized problem of stones // Automation and remote control, 1995, 7, p. 1011-1016.
:  An efficient method for solving a special case of the classic "problem of stones" is considered. The problem is the division of n different objects (stones) into m groups (piles) so that, wherever possible, the total volumes of all groups are equal. Consideration is given to the case where the volumes are ordered so that the volume of the jth object is described by a polynomial of degree alpha. For the case of n always equal to 0 (mod 2*m^alpha), an algorithm with computation time estimated as O(n) is proposed and some generalizations of the problem are discussed.


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: 2645, : 856


Binary relations in the theory of active systems


:  
:  1998
:  
:  Automation and remote control
() :  1
:  M.Z.Arslanov. Binary relations in the theory of active systems // Automation and remote control, 1998, 1, pp. 116-122.
:  A base model of active systems is studied in close relation with binary relations. New analysis methods of optimal consistent planning are elaborated. A correspondence is shown to exist between binary relations and stimulation functions, between consistent plan sets and maximal sets, and between strongly consistent stimulation functions and strict ordering relations.
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:  
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: 2530, : 849


Decision-making models for generalized alternative stochastic networks


:  
:  1999
:  
:  Automation and remote control
() :  10
:  V.I.Voropaev, S.M. Lyubkin, D. Golenko-Ginzburg. Decision-making models for generalized alternative stochastic networks // Automation and remote control, 1999, 10, pp. 1484-1490.
:  A new type of cyclic stochastic alternative time-oriented model (SATM) is suggested which makes it possible to account for both a wide range of relations between tasks (activities) and nodes (events) and the multialternative character of branching directions (lines) of implementation of a project. The available random actions, conditions, and noise find wide use in a network model. A general approach and a procedure are worked up for finding optimal solutions on the SATM. Decisions are made at deterministic (controllable) branching points (nodes), for which the choice of the direction of implementation of a project is taken by the manager of the projact (stochastic branchings are not controllable). A quasioptimal solution is found which lies in the reduction of the SATM network deterministic branchings. For networks of the GAAN type, the solution of the problem for the choice of an optimal admissible version is known. On executing the available algorithm for defining an optimal version, we perform the inverse transformation of the obtained optimal subnetwork into a network of the SATM type. The derived results enable us to make an optimal decision in the course of the development of network projects of the most common type.
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:  


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: 2456, : 880


A model of optimal control of structural changes in an organizational system


:  
:  2002
:  
:  Automation and remote control
() :  8
:  A.A. Voronin, S.P. Mishin. A model of optimal control of structural changes in an organizational system // Automation and remote control, 2002, 8, pp. 1329-1342.
:  An organizational system is considered, namely, an aggregate of certain elements that are hierarchically connected for fulfilling a collection of functions. It is assumed that the result of the work of the system depends on its structure. For a set of various structures (graphs of the organization), expenditures on the operation of the system and on the restructurization are defined. an optimal control of structural changes in a finite time interval involves the choice of the sequence of structural transformations that maximize the total profit. an optimal control enables balancing the expenditures for the operation (effectiveness) and for the restructurization (the stability to the external actions).
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: (php)
: 2734, : 938


Active consumer: Optimization problems of power consumption and self-generation


:  
:  2014
:   ..
:  Automation and Remote Control
() :  Volume 75, Issue 3
:  Volkova I. O., Gubko M. V., Salnikova E. A. Active consumer: Optimization problems of power consumption and self-generation // Automation and Remote Control, 2014, Volume 75, Issue 3. P. 551-562. (translation from Russian)
:  To solve problems of demand management in terms of smart energy systems (Smart grid), we need a mathematical model of active consumer decision-making. Existing models either do not consider important aspects of consumer behavior, or are too complex for use in multi-agent simulation. A mathematical model of an active consumer is proposed, based on which we formulate and solve the problem of optimization of electrical appliances and consumer equipment, as well as determine the loading conditions of self-generation, under which the consumer problem allows simple and effective solution. The proposed approach is illustrated by equipment optimization of a single household.


: (1134%2FS0005117914030114)
: 3746, : 14177


Control laws of "supplier-customer" systems


:  
:  1978
:  
:  Automation and remote control
() :  4
:  A.Ashimov, V.N. Burkov, N. Kulzhabaev. Control laws of "supplier-customer" systems // Automation and remote control, 1978, 4. P. 554-560.
:  The functioning is considered of simple models of "supplier-customer" systems in the process of marketing produced products. A comparative analysis is made of the laws of rigid centralization and of open control. Theorems are proven on optimality of shipping plans of produced products in the solution of the corresponding games.
:  


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: 2623, : 839


Elements of the theory of optimal synthesis of functioning mechanisms of two-level active systems. I.


:  
:  1983
:  
:  Automation and remote control
() :  10
:  V.N. Burkov, A.K. Enaleev, V.V. Kondrat'ev, A.V. Tsvetko. Elements of the theory of optimal synthesis of functioning mechanisms of two-level active systems. I. Necessary and sufficient optimality conditions for regular functioning mechanisms with complete information at the center // Automation and remote control, 1983, 10. P. 1356-1360.
:  The article derives necessary and sufficient optimality conditions for regular functioning mechanisms (i.e., mechanisms ensuring the fulfillment of planned targets) of a two-level active system on a set of mechanisms with fixed objective function and a fixed incentive system under conditions of complete information at the center. The results constitute a generalization of previously derived sufficient conditions.


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: 2940, : 2771


Optimal mechanisms for planning and stimulation in active systems


:  
:  1992
:  
:  Automation and remote control
() :  10
:  V.N. Burkov, A.K. Enaleev, Yu.G. Lavrov. Optimal mechanisms for planning and stimulation in active systems // Automation and remote control, 1992, 10. P. 1579-1585.
:  Active systems with incomplete information at the center about the set of possible states of active elements are considered. Optimal stimuli and planning procedures depending on the reporting of active elements to the information center are found.
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:  
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: (pdf)
: (php)
: 2698, : 899


Elements of the optimal synthesis theory for functioning mechanisms of two-level active systems. II.


:  
:  1984
:  
:  Automation and remote control
() :  11
:  V.N. Burkov, A.K. Enaleev, V.V. Kondrat'ev, A.V. Tsvetkov. Elements of the optimal synthesis theory for functioning mechanisms of two-level active systems. II. Synthesis of optimal correct functioning mechanisms under complete information at the headquarters. // Automation and remote control, 1984, 11. P. 1456-1463.
:  We derive necessary and sufficient conditions for optimality of correct functioning mechanisms in the case when both the planning procedure for the states of the active elements and the incentive system may be varied. Constructive sufficient conditions of optimality are given for incentive systems ensuring that the plan is met.
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:  
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: (php)
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: 2962, : 1466


Elements of optimal synthesis theory for functioning mechanisms of two-level active systems. III.


:  
:  1984
:  
:  Automation and remote control
() :  12
:  V.N. Burkov, A.K. Enaleev, V.V. Kondrat'ev, A.V. Tsvetkov. Elements of optimal synthesis theory for functioning mechanisms of two-level active systems. III. Some problems of optimal coordinated planning under incomplete information at the headquarters // Automation and remote control, 1984, 12. P. 1616-1621.
:  The results of [1,2] are generalized to the case of incomplete information at the headquarters. Necessary and sufficient conditions are derived for optimality of correct functioning mechanisms when the varied components in the optimal synthesis problem are the planning procedure and the incentive system for the elements. Sufficient conditions for optimality of correct mechanisms are given. A number of new coordinated planning procedures are also considered.


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: 3046, : 1809


Active goal-seeking systems


:  
:  1988
:  
:  Systems and control encyclopedia. Theory, technology, applications
:  V.N. Burkov. Active goal-seeking systems // Systems and control encyclopedia. Theory, technology, applications. Editor-in-chief Madan G. Singh. Pergamon Press. 1988. P. 31-37.
:  An active goal-seeking system is a model of a large-scale system, a model which includes active elements.


: (pdf)
: 2445, : 2123



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: 4688, : 3108


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:  
:  2013
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:   . . (vertex-weighted Wiener index, VWWI).
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: ()
: 3072, : 601


E-Expertise: Modern Collective Intelligence


:  
( ):  Springer International Publishing
:  2014
:  
:  Gubanov, D., Korgin, N., Novikov, D., & Raikov, A. E-Expertise: Modern Collective Intelligence. / Series:Studies in Computational Intelligence. vol. 558.-Springer International Publishing. 2014. p. 112
:  This book focuses on organization and mechanisms of expert decision-making support using modern information and communication technologies, as well as information analysis and collective intelligence technologies (electronic expertise or simply e-expertise).



: ()
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: 4413, : 34450


Degree-based topological indices: Optimal trees with given number of pendents


:  
:  2014
:   ..
:  Applied Mathematics and Computation
() :  240
:  Goubko M., Gutman I. Degree-based topological indices: Optimal trees with given number of pendents // Applied Mathematics and Computation. V. 240, 1 August 2014, P. 387398.
:  A dynamic programming method is elaborated, enabling the characterization of trees with a given number of pendent vertices, for which a vertex-degree-based invariant (topological index) achieves its extremal value. The method is applied to the chemically interesting and earlier much studied such invariants: the first and second Zagreb index, and the atombond connectivity index.

Keywords
Topological indices; Graphs; Degree-based topological indices; Zagreb index; ABC index; Extremal graphs


: ()
: 3699, : 5692



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:  2014
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